For this value of 昢㾹, what is the steady-state error to a ަ㿊constant reference input?

The example shows that a system where the loop transfer function has an integrator there will be a constant steady state error when tracking a ramp signal. The error can be eliminated by …

Steady-state error and static error constants Note: the system must be stable (i.e., all poles on left-hand side or at the origin) for these calculations to apply

PI controller accumulates error to produce a constant output u(t) that is sufficient to drive the plant to give the desired output value y(t). When that happens, e(t) = 0, and yet the output y(t) = r(t) …

Moreover, for the steady state error to a unit ramp, the error transfer function is. We are to design C(s) so that y tracks a step input r with zero steady state error and choose closed loop poles …

We would like to analyze (stable) system’s property by applying a test input r(t) and observing a time response y(t). Suppose that G(s) is stable. Next, we will connect these measures with s …

With a little thought it should become clear that the error transfer function given in the answer above must entail all the same properties that we developed for a command system error …